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Finding the Fourth Proportional to 357,145.12, 492,866.36 and 196,015.16

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Solution

The fourth proportional to 357,145.12, 492,866.36 and 196,015.16 is: 270,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,145.12 : 492,866.36 = 196,015.16 : x
  2. Step 2: Convert to fraction form
    357,145.12/492,866.36 = 196,015.16/x
  3. Step 3: Cross multiply
    357,145.12x = 492,866.36 × 196,015.16
  4. Step 4: Simplify right side
    357,145.12x = 96,609,278,414.02
  5. Step 5: Solve for x
    x = 96,609,278,414.02/357,145.12
  6. Step 6: Final answer
    x = 270,504.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.